M2/4 Math Final T1 Review

Transformations

100

A shape moves 3 units right and 2 units down. Describe the type of transformation

Translation

200

A shape is scaled by a factor of 3 and spins 180 degrees around the origin. Describe the two transformations that took place.

Dilation and Rotation

300

A = (-2, 4)

A' = (4, 2)

Describe the transformation

rotated 90 degrees clockwise

(or 270 degrees counterclockwise)

400

A dilation is performed with a scale factor of 2 with the center at the origin. What are the coordinates of A if A' = (-3, 4)?

A = (-1.5, 2)

500

Based on the coordinates given below, describe the change in coordinate notation: X(10, -2) → X’(3, -17)

(x, y) -> (x - 7, y - 15)

Exponents

100

x^2 + x^3

x^2 + x^3

200

10x^2 + 3x^2

13x^2

300

(64x^64)/(8x^8)

8x^56

400

6x^17 xx -3x^-23

-18/x^6

500

(6x^3y^6z^8)^2/(9x^5yz^17)

(4xy^11)/z

Polynomials

100

(4x^3+2)+(2x^3-2)

7x^3

200

(7m^2-m-3)-(2m^2-2m-10)

5m^2+m+7

300

3x(10x^2+2x-4)

30x^3+6x^2-12x

400

(2x-5)(8x+10)

16x^2-20x-50

500

(x+3)(3x^2+7x+12)

3x^3+16x^2+33x+36